Existence of solutions to fractional order ordinary and delay
differential equations and applications

Syed Abbas
Abstract:
In this article, we discuss the existence and uniqueness of
solution to fractional order ordinary and delay differential
equations. We apply our results on the single species model of
Lotka Volterra type. Fixed point theorems are the main tool used
here to establish the existence and uniqueness results. First we
use Banach contraction principle and then Krasnoselskii's fixed
point theorem to show the existence and uniqueness of the solution
under certain conditions. Moreover, we prove that the solution can
be extended to maximal interval of existence.